Katedra Podstaw Mechaniki Ośrodków Ciągłych L-43
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[ENG]- Theory of Elasticity and Plasticity - NOTES
Lecture notes
"Theory of elasticity" - LECTURE NOTES
"A Short Introduction to the Theory of Plasticity"
"Theory of elasticity" - book in Polish
erratum for the printed book
Augustus Edward Hough Love - "A Treatise on the Mathematical Theory of Elasticity" (http://hdl.handle.net/10111/UIUCBB:loveau0001tremat)
Lecture Notes of prof. Allan F. Bower (Brown University)
Solid Mechanics by Allan F. Bower
Presentations used during lectures
ADDITIONAL LECTURE - Notation, matrix calculus and tensor calculus
ADDITIONAL LECTURE - Introduction to the Kirchhoff - Love theory of thin plates
LECTURE 1 - Kinematics
LECTURE 2 - Kinematics (cont.)
LECTURE 3 - Statics and dynamics
LECTURE 4 - Dynamics (cont.), constitutive relations
LECTURE 5 - Constitutive relations (cont.), linearization of the theory
LECTURE 6 - Linear theory of elasticity (cont.)
LECTURE 7 - Plane problems
LECTURE 8 - Fundamental solutions
LECTURE 9 - Solutions of plane and axis-symmetric problems
LECTURE 10 - Energy principles
LECTURE 11 - Energy principles (cont.)
LECTURE 12 - Introduction to the Theory of Plasticity
LECTURE 13 - Governing equations of the Theory of Plasticity
LECTURE 14 - Chosen problems of elastic-plastic deformation. Upper and Lower Bound Estimate Theorems
Examples
Exercises
Exercises - in Polish
Example of solution for Project No 1
Example of solution for Project No 2 (membrane)
Polar decomposition of 2D deformation gradient
Polar decomposition of 3D deformation gradient
Membrane - Finite Difference Method